Calculate in unit-vector form and hence determine its magnitude

MATHEMATICS · Subjective · A Level · Mathematics · Vectors · Vectors

Problem

Calculate

\mathbf{u}-\mathbf{v}

in unit-vector form and hence determine its magnitude, where

\mathbf{u}=2\hat{i}+\sqrt{3}\hat{j}-\hat{k}

and

\mathbf{v}=-\hat{i}+2\hat{j}+3\hat{k}